Florida B.E.S.T. MA.5.NSO.1.1

Math5th GradeUnderstand the place value of multi-digit numbers with decimals to the thousandths place.

The Standard

Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students track one digit as it moves left or right across whole-number and decimal places. They explain each left move as 10 times greater and each right move as one tenth as great.

What Mastery Looks Like

Students state that each move left makes a digit’s value 10 times greater, and each move right makes it one tenth as great. They can track several moves and justify the total change.

Common Misconceptions

Students may confuse the digit itself with its value, saying a 4 always means 4. They may reverse the direction or treat each move as adding or subtracting 10.

How to Assess It

Give this exit ticket: “In 7.777, how does the value of the 7 in the ones place compare with the 7 in the thousandths place? Explain.”

Lesson moves

Ways to Teach It

  1. Have students slide digit cards across a place value mat and record the value after each move.

  2. Ask students to explain why the 5 in 5.05 is 100 times the value of the second 5.

  3. Play Place Value Move, where partners draw a digit and direction card, then name its new value.

  4. Use a meter stick to compare 1 meter, 0.1 meter, 0.01 meter, and 0.001 meter as repeated rightward shifts.

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Printable MA.5.NSO.1.1 Worksheet

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